The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 0 1 2 1 1 1 1 0 2 1 1 1 1 1 2 0 0 1 1 0 2 1 0 1 0 1 0 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 0 1 0 1 0 0 0 1 1 1 2 0 3 1 1 2 0 1 0 1 1 0 1 1 2 1 3 3 1 1 0 1 1 3 2 0 1 0 2 2 3 1 3 2 2 2 2 0 1 2 3 0 3 2 0 0 1 1 1 0 0 1 0 1 1 0 1 0 3 0 3 2 1 2 3 1 2 1 2 0 1 1 3 0 3 3 0 0 0 2 0 2 1 3 1 2 1 3 2 3 1 3 2 1 2 3 1 0 3 2 0 0 1 2 1 1 0 0 0 1 1 0 1 1 1 0 2 3 3 1 0 0 2 0 2 1 1 1 3 0 1 1 2 0 1 0 1 1 1 2 2 1 2 3 0 2 1 1 0 0 3 1 1 3 0 3 3 1 1 2 0 3 3 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+206x^48+350x^50+524x^52+508x^54+547x^56+504x^58+459x^60+372x^62+327x^64+170x^66+102x^68+16x^70+7x^72+3x^76 The gray image is a code over GF(2) with n=114, k=12 and d=48. This code was found by Heurico 1.16 in 3.58 seconds.